GCD of 382, 550, 942, 144 Calculator

Given Input numbers are 382, 550, 942, 144

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 382, 550, 942, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 550, 942, 144 is 2.

Therefore, GCD of numbers 382, 550, 942, 144 is 2

Given Input Data is 382, 550, 942, 144

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 382 is 2 x 191

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(382, 550) = 105050

GCD(382, 550) = ( 382 x 550 ) / 105050

GCD(382, 550) = 210100 / 105050

GCD(382, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 382, 550, 942, 144 is 2

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• GCD of 342, 519, 571, 763
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• GCD of 881, 137, 161, 941

1. What is the GCD of 382, 550, 942, 144?

GCD of 382, 550, 942, 144 is 2

2. Where do I get the detailed procedure to find GCD of 382, 550, 942, 144?

You can find a detailed procedure to find GCD of 382, 550, 942, 144 on our page.

3. How to find GCD of 382, 550, 942, 144 on a calculator?

You can find the GCD of 382, 550, 942, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.